exercise:F9d9c7d825: Difference between revisions

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(Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> In a poker hand, John has a very strong hand and bets 5 dollars. The probability that Mary has a better hand is .04. If Mary had a better hand she would raise with probability .9, but with a poorer hand she would only raise with probability .1....")
 
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In a poker hand, John has a very strong hand and bets 5 dollars.  The probability that Mary has a better hand is .04.  If Mary had a better hand she
\newcommand{\NA}{{\rm NA}}
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\newcommand{\exref}[1]{\ref{##1}}
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\newcommand{\mathds}{\mathbb}</math></div> In a poker hand, John has a very strong hand and bets 5 dollars.  The
probability that Mary has a better hand is .04.  If Mary had a better hand she
would raise with probability .9, but with a poorer hand she would only raise
would raise with probability .9, but with a poorer hand she would only raise
with probability .1.  If Mary raises, what is the probability that she has a
with probability .1.  If Mary raises, what is the probability that she has a
better hand than John does?
better hand than John does?

Latest revision as of 00:45, 13 June 2024

In a poker hand, John has a very strong hand and bets 5 dollars. The probability that Mary has a better hand is .04. If Mary had a better hand she would raise with probability .9, but with a poorer hand she would only raise with probability .1. If Mary raises, what is the probability that she has a better hand than John does?